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Question P6 Number × value

Today’s problem — free all day, every step. Every day has one.

Two workers — finishing a job together

Worker A can complete a job in 5 days. Worker B can complete the same job in 10 days. They work together for 2 days, then Worker A stops. How many more days does Worker B need to finish?

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About this method

Number × value

One batch repeats. Work out one batch, then multiply.

In this one. Give the job a unit count both times divide into (10), so each worker's speed becomes a whole number of units per day — and rates in the same units add.

4 batches, all the sameIn allwork out this one, then ×4

Also uses: Same time, same distance

How to spot it

Items are described as a fixed group or ratio that repeats, such as tiles following a pattern, snacks sold in a fixed mix, or a rate given per hour or per item.

Common mistake

Children start from the grand total instead of first working out what one batch is worth. In rate questions they also confuse a duration with a clock time.

Practise a similar question

Standard A bakery sells buns and muffins in the ratio of 3 buns to 5 muffins. Each bun costs $2, and each muffin costs $1. If the total value of all buns and muffins is $55, how many buns and muffins are there altogether?
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